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Finding the Third Proportional to 636,088 and 891,560

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Solution

The third proportional to 636,088 and 891,560 is: 1,249,637.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,088 : 891,560 = 891,560 : x
  2. Step 2: Convert to fraction form
    636,088/891,560 = 891,560/x
  3. Step 3: Cross multiply
    636,088x = 891,560 × 891,560
  4. Step 4: Simplify right side
    636,088x = 794,879,233,600
  5. Step 5: Solve for x
    x = 794,879,233,600/636,088
  6. Step 6: Final answer
    x = 1,249,637.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.